w核逆的交换性

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Kuwait Journal of Science Pub Date : 2025-04-01 Epub Date: 2025-03-05 DOI:10.1016/j.kjs.2025.100390

Chengcheng Wang , Huihui Zhu , Julio Benítez

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引用次数: 0

摘要

本文研究了一个* -半群中w核逆的交换子性质。其中，证明了当且仅当a是与相等的投影（EP），其中a和w是a * -半群的元素。作为应用，给出了磁芯可逆元为极压元的等价条件。然后，给出了复矩阵w核逆的交换子性质。最后给出了双对易子的一些结果和w核逆的反序律。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Commutant properties of w-core inverses

In this paper, we investigate commutant properties of the

w

-core inverse in a

*

-semigroup. Among these, it is shown that

if and only if

a

is equal projection (EP) with

, where

a

and

w

are elements of a

*

-semigroup. As applications, equivalent conditions such that a core invertible element is an EP element are given. Then, commutant properties of the

w

-core inverse for complex matrices are correspondingly given. Finally, some results on double commutants and the reverse order law for

w

-core inverses are given.

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来源期刊

Kuwait Journal of Science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

28.60%

发文量

132

期刊介绍： Kuwait Journal of Science (KJS) is indexed and abstracted by major publishing houses such as Chemical Abstract, Science Citation Index, Current contents, Mathematics Abstract, Micribiological Abstracts etc. KJS publishes peer-review articles in various fields of Science including Mathematics, Computer Science, Physics, Statistics, Biology, Chemistry and Earth & Environmental Sciences. In addition, it also aims to bring the results of scientific research carried out under a variety of intellectual traditions and organizations to the attention of specialized scholarly readership. As such, the publisher expects the submission of original manuscripts which contain analysis and solutions about important theoretical, empirical and normative issues.